Gene

Biology

Dynamics (music)

Applied mathematics

Virology

Stability (learning theory)

Telecommunications

Economics

Biochemistry

Computer science

Mathematical optimization

Acoustics

Physics

Mathematics

Laplace transform

Inverse Laplace transform

Transcription factor

Mathematical analysis

Uniqueness

Repressor

Medicine

Transmission (telecommunications)

Chemistry

Finance

Operator (biology)

Fractional calculus

Iterative method

Typhoid fever

Order (exchange)

Machine learning

Pathology

Chaos Solitons & Fractals

In this manuscript, we develop existence, uniqueness and stability criteria for fractional order Typhoid fever model having Caputo–Fabrizio operator by using fixed point theory. This approach of the fractional derivative is relatively new for such kind of biological models. We have also obtained the first accessible approximate solutions for a proposed model by utilizing iterative Laplace transform method. This technique is a combination of one of the reliable method known as new iterative method and Laplace transform method. Finally, we have evaluated parameters that portray the conduct of illness and present the numerical simulations using plots.

Transmission dynamics of fractional order Typhoid fever model using Caputo–Fabrizio operator